Project ForgeEngineering Mathematics
Calculus
GATE 2020
Medium
The Laplace transform of a function f(t) is L(f) = 1/(s²+ω²). Then, f(t) is
- Af(t) = (1/ω²)(1 − cos ωt)
- Bf(t) = (1/ω) cos ωt
- f(t) = (1/ω) sin ωt
- Df(t) = (1/ω²)(1 − sin ωt)
Explanation
The standard transform pair is L[sin(ωt)] = ω/(s²+ω²), so L[(1/ω)sin(ωt)] = 1/(s²+ω²). Hence f(t) = (1/ω) sin ωt.
Source: GATE ME 2020 Session 1 (ME-1) (2020)
This question is part of a 15-day revision cycle — sign in and Project Forge will bring it back the day before you'd forget it.